Solving multi-step problems using non-linear equations in two or more variables

What are the solutions to the system: y = x² + 3x - 5 y = x + 3

#3

• (-4, 2) and (-1, 5)

• (-4, -1) and (2, 5)

• (2, -1 and (-4, 5)

• (-4, 1) and (2, -1)

Determine if the point (2,0) is a solution to the following system:

y=2x - 4

y=x² - 4

• Yes

• No

Determine if the point (-3,-16) is a solution to the following system:

y = 3x - 7

y = x² + 2x - 9

• Yes, because it works in one equation.

• Yes, because it works in the both equations.

• No, because it works in neither equation.

• No, because it works in only one equation.

• no solution

• one solution

• two solution

• complex solution

• no solution

• (0, 1)

• (0, -1)

• (3, 4)

What is the solution to the following system?

^{x - y = 6}

^{x = 11}

• (11, 5)

• (55, 5)

• (11, 11)

• (5, 55)

Find the solution.

• (-2,4) and (-5,1)
• (4,2) and (-5,7)
• (1,-4) and (3,7)
• (15,19) and (20,16)

Solve the following system using substitution.

• (10,8) and (-8, -10)
• no solution
• (-8, -6) and (6,8)
• (6, 8) and (8, 10)

Find the solution(s):

y = x² - 4x + 6

y = x + 2

• (3, 1) and (6, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

• (-1,-5)

• (5,-5)

• (-1,-5) and (5,-5)

• (-5,5)